{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Visualizing Grover's Search Algorithm"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is a companion notebook to the [Exploring Grover's Search Algorithm](./ExploringGroversAlgorithmTutorial.ipynb) tutorial. It helps you explore the algorithm by plotting several graphs that are a lot easier to build using Python than in a purely Q# notebook.\n",
    "\n",
    "> <font color=\"red\">This notebook contains some heavy computations, and might take a fair amount of time to execute. \n",
    "    Precomputed cell outputs are included - you might want to study these before you opt to re-run the cells.</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Running Q# code from Python\n",
    "\n",
    "To start with, execute this cell using Ctrl+Enter (or ⌘+Enter on a Mac). This is necessary to prepare the environment and import the libraries and operations we'll use later in the tutorial."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Preparing Q# environment...\n"
     ]
    }
   ],
   "source": [
    "import qsharp\n",
    "import Quantum.Kata.ExploringGroversAlgorithm as Grover\n",
    "\n",
    "import warnings\n",
    "warnings.simplefilter('ignore')\n",
    "\n",
    "%matplotlib inline\n",
    "from matplotlib import pyplot"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`GroversAlgorithm_SuccessProbability` is a pre-written Q# operation similar to the one you've implemented in the [exercise 5](./ExploringGroversAlgorithmTutorial.ipynb#Exercise-5:-Calculate-the-success-probability-of-Grover's-algorithm): \n",
    "given the instance of a SAT problem and the number of iterations, it runs Grover's search on that instance for that number of iterations and calculates the probability of its success.\n",
    "\n",
    "You can call this operation from Python as follows (note that the only change in the syntax used for describing instances of SAT problems is that in Q# the constants `true` and `false` are spelled in lowercase, and in Python the first letter is capitalized):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Solving SAT problem (x0 ∨ x1) ∧ (¬x0 ∨ ¬x1) ∧ (x1 ∨ x2) ∧ (¬x1 ∨ ¬x2)...\n",
      "The algorithm succeeds with 100.0% probability\n"
     ]
    }
   ],
   "source": [
    "# The SAT instance we want to solve\n",
    "problem = [[(0, True), (1, True)], [(0, False), (1, False)], [(1, True), (2, True)], [(1, False), (2, False)]]\n",
    "variableCount = 3\n",
    "\n",
    "print(\"Solving SAT problem \" + Grover.SATInstanceAsString.simulate(instance = problem) + \"...\")\n",
    "\n",
    "# Simulate the algorithm and print the results\n",
    "successProb = Grover.SuccessProbability_SAT.simulate(N = variableCount, instance = problem, iter = 1)\n",
    "print(\"The algorithm succeeds with \" + str(successProb * 100) + \"% probability\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now that we have the tools for running Grover's search algorithm from Python and calculating its success probability, \n",
    "let's use them to collect and plot some information about the behavior of the algorithm's success probability."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exploring success probability"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's start by considering a larger problem instance with exactly 1 solution and exploring how the success probability of the algorithm depends on the number of Grover iterations done.\n",
    "\n",
    "> For the sake of speeding up the plotting we will use hardcoded oracles which implement functions with a given number of solutions instead of a proper SAT-solving oracles. The behaviors we will be exploring do not depend on the exact problem solved by the oracle!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x_points = range(20)\n",
    "y_points = [-1.0] * 20\n",
    "\n",
    "for iter in x_points:\n",
    "    y_points[iter] = Grover.SuccessProbability_Sol.simulate(nQubit = 5, nSol = 1, iter = iter)\n",
    "    \n",
    "# Plot the data\n",
    "fig = pyplot.figure()\n",
    "ax = fig.add_subplot(111)\n",
    "p = ax.plot(x_points, y_points, 'b')\n",
    "ax.set_xlabel('Number of iterations')\n",
    "ax.set_ylabel('Success probability')\n",
    "ax.set_title('M = 1 solution out of N = 2⁵ possibilities')\n",
    "ax.set_xticks(range(20))\n",
    "fig.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can observe a very important property of the algorithm on this plot: **more iterations does not mean better!**  \n",
    "The success probability increases until it hits a maximum of 1.0 at 4 iterations, after that it decreases again until a minimum of 0.0 at 8 iterations, and after that the pattern repeats. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## How to maximize success probability?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's take a look at more data: how does success probability change as the number of iterations increases depending on the number of solutions the problem has.\n",
    "\n",
    "> Note that the execution of this cell can take several minutes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "x_points = range(20)\n",
    "y_points = []\n",
    "\n",
    "for sol in range(4):\n",
    "    yp = [-1.0] * 20\n",
    "    for iter in x_points:\n",
    "        yp[iter] = Grover.SuccessProbability_Sol.simulate(nQubit = 5, nSol = sol + 2, iter = iter)\n",
    "    y_points.append(yp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x720 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the data\n",
    "fig, axes = pyplot.subplots(2, 2, figsize=(16, 10))\n",
    "for sol in range(4):\n",
    "    ax = axes.flatten()[sol]\n",
    "    ax.plot(x_points, y_points[sol])\n",
    "    ax.set_xlabel('Number of iterations')\n",
    "    ax.set_ylabel('Success probability')\n",
    "    ax.set_title('M = ' + str(sol+2) + ' solutions')\n",
    "    ax.set_xticks(range(20))\n",
    "fig.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can see that the pattern remains the same on each plot: the success probability increases to nearly 1.0 at a certain number of iterations, after that it decreases to nearly 0.0 at approximately double that number of iterations, and after that the pattern repeats. \n",
    "\n",
    "However, the number of iterations at which the maximum success probability is achieved is different for different problems: for problems with 1 solution it was 4 iterations, for 2 solutions - 3 iterations, for 3 and 4 solutions - 2 iterations, and for 5 solutions - 1 iteration. The formula for the optimal number of iterations is \n",
    "\n",
    "$$R \\approx \\frac{\\pi}{4} \\sqrt{\\frac{N}{M}}$$\n",
    "\n",
    "where $N$ is the size of the search space (in our case we have 5 binary variables, so $N = 2^5 = 32$), $M$ is the number of solutions to the problem (in our case between 1 and 5).\n",
    "\n",
    "This formula shows the reason Grover's search is so interesting - the classical solution to the search problem requires $O(N)$ evaluations of the function, and Grover's search algorithm allows to do this in $O(\\sqrt{N})$ evaluations, providing a quadratic speedup."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
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    "### But I don't know how many solutions my problem has!"
   ]
  },
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    "Indeed, in practical applications you don't usually know how many solutions your problem has before you start solving it. \n",
    "In this case you can pick the number of iterations as a random number between 1 and $\\frac{\\pi}{4} \\sqrt{N}$, and if the search did not yield the result on the first run, re-run it with a different number of iterations."
   ]
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   "source": [
    "# What's Next?\n",
    "\n",
    "We hope you've enjoyed this tutorial and learned a lot from it! If you're looking to learn more about quantum computing and Q#, here are some suggestions:\n",
    "\n",
    "* The [Quantum Katas](https://github.com/microsoft/QuantumKatas/) are sets of programming exercises on quantum computing that can be solved using Q#. They cover a variety of topics, from the basics like the concepts of superposition and measurements to more interesting algorithms like Grover's search.\n",
    "* In particular, [GroverSearch kata](https://github.com/microsoft/QuantumKatas/tree/master/GroversAlgorithm) offers you exercises on implementing simple quantum oracles and a step-by-step implementation of Grover search algorithm (all the internals that were hidden under the hood of `GroversAlgorithm_Loop` operation in this tutorial!).\n",
    "* [SolveSATWithGrover kata](https://github.com/microsoft/QuantumKatas/tree/master/SolveSATWithGrover) teaches you how to implement quantum oracles for SAT problems, starting with the simple building blocks like implementing AND and OR operations in a quantum way.\n",
    "* [GraphColoring kata](https://github.com/microsoft/QuantumKatas/tree/master/GraphColoring) is another interesting kata that teaches you how to implement quantum oracles for graph coloring problems."
   ]
  }
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